Geometry quadrilateral criteria

Area for rhombus and kite

A=1/2(d1•d2)

Area for trapezoid

A=1/2h(b1+b2)

area for parallelogram

A=B•H

Rectangle

-4 right angles -diagonals are congruent -all prop of a parallelogram

Trapezoid

-A quadrilateral with exactly one pair of parallel sides -the parallel sides are bases and the other are legs

Kite

-a quadrilateral with exactly 2 distinct pairs of adjacent congruent sides

isosceles trapezoid

-a trapezoid with congruent legs -base angles are congruent (bottom 2 r the same and top 2 are the same)

Rhombus

-has 4 congruent sides -has perpendicular diagonals -diganols bisect opp angles (they r same) -all prop of a parallelogram

Square

-has all properties of a rectangle and rhombus

Parallelogram

-opp sides are parallel -opp sides are congruent - consecutive (side) angles are supp -diagonals bisect each other

Same slope

Parallel

reciprocal slope

Perpendicular

Distance

Side lengths |— (x2-x1)2+(y2-y1)2

Slope

To find if parallel=rectangle or square Y2-Y1/x2-x1

Midpoint

x1+x2/2, y1+y2/2